TSTP Solution File: SET839-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET839-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:48:34 EDT 2022
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET839-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 14:13:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.38 % SZS status Unsatisfiable
% 0.13/0.38 % SZS output begin IncompleteProof
% 0.13/0.38 cnf(c0, axiom,
% 0.13/0.38 ~c_in(X0,v_S,tc_set(t_a)) | ~c_in(X1,v_S,tc_set(t_a)) | c_lessequals(X0,X1,tc_set(t_a))).
% 0.13/0.38 cnf(c1, plain,
% 0.13/0.38 ~c_in(X0,v_S,tc_set(t_a)) | ~c_in(X1,v_S,tc_set(t_a)) | c_lessequals(X0,X1,tc_set(t_a)),
% 0.13/0.38 inference(start, [], [c0])).
% 0.13/0.38
% 0.13/0.38 cnf(c2, axiom,
% 0.13/0.38 c_lessequals(X2,X3,tc_set(X4)) | c_in(c_Main_OsubsetI__1(X2,X3,X4),X2,X4)).
% 0.13/0.38 cnf(a0, assumption,
% 0.13/0.38 X0 = c_Main_OsubsetI__1(X2,X3,X4)).
% 0.13/0.38 cnf(a1, assumption,
% 0.13/0.38 v_S = X2).
% 0.13/0.38 cnf(a2, assumption,
% 0.13/0.38 tc_set(t_a) = X4).
% 0.13/0.38 cnf(c3, plain,
% 0.13/0.38 ~c_in(X1,v_S,tc_set(t_a)) | c_lessequals(X0,X1,tc_set(t_a)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.13/0.38 cnf(c4, plain,
% 0.13/0.38 c_lessequals(X2,X3,tc_set(X4)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.13/0.38
% 0.13/0.38 cnf(c5, axiom,
% 0.13/0.38 ~c_lessequals(v_S,c_insert(X5,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a)))).
% 0.13/0.38 cnf(a3, assumption,
% 0.13/0.38 X2 = v_S).
% 0.13/0.38 cnf(a4, assumption,
% 0.13/0.38 X3 = c_insert(X5,c_emptyset,tc_set(t_a))).
% 0.13/0.38 cnf(a5, assumption,
% 0.13/0.38 tc_set(X4) = tc_set(tc_set(t_a))).
% 0.13/0.38 cnf(c6, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.13/0.38 cnf(c7, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.13/0.38
% 0.13/0.38 cnf(c8, axiom,
% 0.13/0.38 c_lessequals(X6,X7,tc_set(X8)) | c_in(c_Main_OsubsetI__1(X6,X7,X8),X6,X8)).
% 0.13/0.38 cnf(a6, assumption,
% 0.13/0.38 X1 = c_Main_OsubsetI__1(X6,X7,X8)).
% 0.13/0.38 cnf(a7, assumption,
% 0.13/0.38 v_S = X6).
% 0.13/0.38 cnf(a8, assumption,
% 0.13/0.38 tc_set(t_a) = X8).
% 0.13/0.38 cnf(c9, plain,
% 0.13/0.38 c_lessequals(X0,X1,tc_set(t_a)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c3, c8])).
% 0.13/0.38 cnf(c10, plain,
% 0.13/0.38 c_lessequals(X6,X7,tc_set(X8)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c3, c8])).
% 0.13/0.38
% 0.13/0.38 cnf(c11, axiom,
% 0.13/0.38 ~c_lessequals(v_S,c_insert(X9,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a)))).
% 0.13/0.38 cnf(a9, assumption,
% 0.13/0.38 X6 = v_S).
% 0.13/0.38 cnf(a10, assumption,
% 0.13/0.38 X7 = c_insert(X9,c_emptyset,tc_set(t_a))).
% 0.13/0.38 cnf(a11, assumption,
% 0.13/0.38 tc_set(X8) = tc_set(tc_set(t_a))).
% 0.13/0.38 cnf(c12, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 0.13/0.38 cnf(c13, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 0.13/0.38
% 0.13/0.38 cnf(c14, axiom,
% 0.13/0.38 X10 = X11 | ~c_lessequals(X11,X10,tc_set(X12)) | ~c_lessequals(X10,X11,tc_set(X12))).
% 0.13/0.38 cnf(a12, assumption,
% 0.13/0.38 X0 = X11).
% 0.13/0.38 cnf(a13, assumption,
% 0.13/0.38 X1 = X10).
% 0.13/0.38 cnf(a14, assumption,
% 0.13/0.38 tc_set(t_a) = tc_set(X12)).
% 0.13/0.38 cnf(c15, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c14])).
% 0.13/0.38 cnf(c16, plain,
% 0.13/0.38 X10 = X11 | ~c_lessequals(X10,X11,tc_set(X12)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c14])).
% 0.13/0.38
% 0.13/0.38 cnf(c17, axiom,
% 0.13/0.38 c_lessequals(X13,X14,tc_set(X15)) | ~c_in(c_Main_OsubsetI__1(X13,X14,X15),X14,X15)).
% 0.13/0.38 cnf(a15, assumption,
% 0.13/0.38 c_Main_OsubsetI__1(X13,X14,X15) = X10).
% 0.13/0.38 cnf(c18, plain,
% 0.13/0.38 ~c_lessequals(X10,X11,tc_set(X12)),
% 0.13/0.38 inference(strict_subterm_extension, [assumptions([a15])], [c16, c17])).
% 0.13/0.38 cnf(c19, plain,
% 0.13/0.38 c_lessequals(X13,X14,tc_set(X15)),
% 0.13/0.38 inference(strict_subterm_extension, [assumptions([a15])], [c16, c17])).
% 0.13/0.38 cnf(c20, plain,
% 0.13/0.38 ~c_in(X11,X14,X15),
% 0.13/0.38 inference(strict_subterm_extension, [assumptions([a15])], [c16, c17])).
% 0.13/0.38
% 0.13/0.38 cnf(c21, axiom,
% 0.13/0.38 c_in(X16,c_insert(X16,X17,X18),X18)).
% 0.13/0.38 cnf(a16, assumption,
% 0.13/0.38 X11 = X16).
% 0.13/0.38 cnf(a17, assumption,
% 0.13/0.38 X14 = c_insert(X16,X17,X18)).
% 0.13/0.38 cnf(a18, assumption,
% 0.13/0.38 X15 = X18).
% 0.13/0.38 cnf(c22, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c20, c21])).
% 0.13/0.38 cnf(c23, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c20, c21])).
% 0.13/0.38
% 0.13/0.38 cnf(c24, plain,
% 0.13/0.38 ~c_lessequals(X6,X7,tc_set(X8))).
% 0.13/0.38 cnf(a19, assumption,
% 0.13/0.38 X13 = X6).
% 0.13/0.38 cnf(a20, assumption,
% 0.13/0.38 X14 = X7).
% 0.13/0.38 cnf(a21, assumption,
% 0.13/0.38 tc_set(X15) = tc_set(X8)).
% 0.13/0.38 cnf(c25, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(predicate_reduction, [assumptions([a19, a20, a21])], [c19, c24])).
% 0.13/0.38
% 0.13/0.38 cnf(c26, axiom,
% 0.13/0.38 ~c_in(X19,v_S,tc_set(t_a)) | ~c_in(X20,v_S,tc_set(t_a)) | c_lessequals(X19,X20,tc_set(t_a))).
% 0.13/0.38 cnf(a22, assumption,
% 0.13/0.38 X10 = X19).
% 0.13/0.38 cnf(a23, assumption,
% 0.13/0.38 X11 = X20).
% 0.13/0.38 cnf(a24, assumption,
% 0.13/0.38 tc_set(X12) = tc_set(t_a)).
% 0.13/0.38 cnf(c27, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c18, c26])).
% 0.13/0.38 cnf(c28, plain,
% 0.13/0.38 ~c_in(X19,v_S,tc_set(t_a)) | ~c_in(X20,v_S,tc_set(t_a)),
% 0.13/0.38 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c18, c26])).
% 0.13/0.38
% 0.13/0.38 cnf(c29, plain,
% 0.13/0.38 c_in(X1,v_S,tc_set(t_a))).
% 0.13/0.38 cnf(a25, assumption,
% 0.13/0.38 X19 = X1).
% 0.13/0.38 cnf(a26, assumption,
% 0.13/0.38 v_S = v_S).
% 0.13/0.38 cnf(a27, assumption,
% 0.13/0.38 tc_set(t_a) = tc_set(t_a)).
% 0.13/0.38 cnf(c30, plain,
% 0.13/0.38 ~c_in(X20,v_S,tc_set(t_a)),
% 0.13/0.38 inference(predicate_reduction, [assumptions([a25, a26, a27])], [c28, c29])).
% 0.13/0.38
% 0.13/0.38 cnf(c31, plain,
% 0.13/0.38 c_in(X0,v_S,tc_set(t_a))).
% 0.13/0.38 cnf(a28, assumption,
% 0.13/0.38 X20 = X0).
% 0.13/0.38 cnf(a29, assumption,
% 0.13/0.38 v_S = v_S).
% 0.13/0.38 cnf(a30, assumption,
% 0.13/0.38 tc_set(t_a) = tc_set(t_a)).
% 0.13/0.38 cnf(c32, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(predicate_reduction, [assumptions([a28, a29, a30])], [c30, c31])).
% 0.13/0.38
% 0.13/0.38 cnf(c33, plain,
% 0.13/0.38 $false,
% 0.13/0.38 inference(constraint_solving, [
% 0.13/0.38 bind(X0, c_Main_OsubsetI__1(X2,X3,X4)),
% 0.13/0.38 bind(X1, c_Main_OsubsetI__1(X6,X7,X8)),
% 0.13/0.38 bind(X2, v_S),
% 0.13/0.38 bind(X3, c_insert(X5,c_emptyset,tc_set(t_a))),
% 0.13/0.38 bind(X4, tc_set(t_a)),
% 0.13/0.38 bind(X5, X5),
% 0.13/0.38 bind(X6, v_S),
% 0.13/0.38 bind(X7, c_insert(X9,c_emptyset,tc_set(t_a))),
% 0.13/0.38 bind(X8, tc_set(t_a)),
% 0.13/0.38 bind(X9, c_Main_OsubsetI__1(X2,X3,X4)),
% 0.13/0.38 bind(X10, c_Main_OsubsetI__1(X6,X7,X8)),
% 0.13/0.38 bind(X11, c_Main_OsubsetI__1(X2,X3,X4)),
% 0.13/0.38 bind(X12, t_a),
% 0.13/0.38 bind(X13, v_S),
% 0.13/0.38 bind(X14, c_insert(X9,c_emptyset,tc_set(t_a))),
% 0.13/0.38 bind(X15, tc_set(t_a)),
% 0.13/0.38 bind(X16, c_Main_OsubsetI__1(X2,X3,X4)),
% 0.13/0.38 bind(X17, c_emptyset),
% 0.13/0.38 bind(X18, tc_set(t_a)),
% 0.13/0.38 bind(X19, c_Main_OsubsetI__1(X6,X7,X8)),
% 0.13/0.38 bind(X20, c_Main_OsubsetI__1(X2,X3,X4))
% 0.13/0.38 ],
% 0.13/0.38 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30])).
% 0.13/0.38
% 0.13/0.38 % SZS output end IncompleteProof
%------------------------------------------------------------------------------